The £8million-rated Hull City defender is one of a number of options being considered.
Liverpool have scouted Robertson extensively over the past two seasons.
They were linked with the Scotland international a year ago but Klopp opted not to sign a left-back after failing in a bid to buy Leicester City’s Ben Chilwell.
Robertson has remained under consideration since but Fulham’s Ryan Sessegnon was the preferred option this summer. Liverpool withdrew their interest earlier this month after being informed that the teenager intended to remain in the capital and he has since signed a first professional deal with the Cottagers.
The Reds enquired about Monaco left-back Benjamin Mendy, but were told he’s likely to join Manchester City.
Liverpool have also been linked with Napoli’s Faouzi Ghoulam and Celtic’s Kieran Tierney but the ECHO understands they don’t feature on the club’s shortlist.
Robertson is destined to leave Hull following their relegation from the top-flight last season.
The Glasgow-born 23-year-old has made 115 appearances for the Tigers since his £3million move from Dundee United in 2014.
Released by Celtic as a teenager, the attacking full-back launched his career at Queen’s Park before being snapped up by Dundee United. Three years ago he was crowned the PFA Scotland Young Player of the Year.
Source: Liverpool Echo
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